Details

Time bar (total: 3.2s)

analyze423.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample44.0ms

Algorithm
intervals
Results
11.0ms36×body1280valid
10.0ms36×body640valid
9.0ms172×body80valid
1.0ms18×body80invalid
1.0ms6×body320valid
1.0ms6×body160valid
0.0ms2×body640invalid
0.0ms2×body160invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.9b
(/ (* x (/ (sin y) y)) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
11.0ms
(* x (/ (sin y) y))
6.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series47.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
24.0ms
(/ (* x (/ (sin y) y)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04952739
14952739

prune122.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh011
Picked101
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
3.9b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
14.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series36.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
8.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
14.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049511967
149511967

prune189.0ms

Filtered
141 candidates to 219 candidates (-55.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2181219
Fresh257
Picked011
Done000
Total2207227

Merged error: 0b

Counts
227 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
3.5b
(* x (/ (/ (sin y) y) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
9.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049741831
149741831

prune157.0ms

Filtered
138 candidates to 171 candidates (-23.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh055
Picked011
Done011
Total1717178

Merged error: 0b

Counts
178 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
4.0b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify54.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04979943
14979943

prune86.0ms

Filtered
71 candidates to 114 candidates (-60.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh224
Picked011
Done022
Total1156121

Merged error: 0b

Counts
121 → 6

regimes392.0ms

Accuracy

94.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02637
12637

end0.0ms

sample1.2s

Algorithm
intervals
Results
319.0ms988×body1280valid
292.0ms5264×body80valid
213.0ms982×body640valid
77.0ms496×body320valid
33.0ms270×body160valid
29.0ms541×body80invalid
13.0ms58×body640invalid
8.0ms53×body320invalid
4.0ms36×body160invalid
3.0ms9×body1280invalid

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